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number > real number > Diophantine approximation > Oppenheim conjecture

Terme préférentiel

Oppenheim conjecture  

Définition(s)

  • In Diophantine approximation, the Oppenheim conjecture concerns representations of numbers by real quadratic forms in several variables. It was formulated in 1929 by Alexander Oppenheim and later the conjectured property was further strengthened by Harold Davenport and Oppenheim. Initial research on this problem took the number n of variables to be large, and applied a version of the Hardy-Littlewood circle method. The definitive work of Margulis, settling the conjecture in the affirmative, used methods arising from ergodic theory and the study of discrete subgroups of semisimple Lie groups.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Oppenheim_conjecture)

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URI

http://data.loterre.fr/ark:/67375/PSR-GSXNJJR7-M

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RDF/XML TURTLE JSON-LD Date de création 30/08/2023, dernière modif. 30/08/2023